{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e166a218-e2c4-43eb-a157-9e6ab190db06",
   "metadata": {},
   "source": [
    "## 直接回归方程法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "14d7f729-12a8-43e8-9f4b-b2692c0970ba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "# 设置全局样式参数\n",
    "plt.rcParams['axes.labelsize'] = 14  # 轴标签的字体大小\n",
    "plt.rcParams['xtick.labelsize'] = 12  # x 轴刻度的字体大小\n",
    "plt.rcParams['ytick.labelsize'] = 12  # y 轴刻度的字体大小\n",
    "import warnings\n",
    "# 忽略所有警告\n",
    "warnings.filterwarnings('ignore')\n",
    "# 设置随机种子\n",
    "np.random.seed(42)\n",
    "# 生成特征值，0-2 的随机值\n",
    "X = 2*np.random.rand(100,1)\n",
    "# 生成标签值\n",
    "y = 4+ 3*X +np.random.randn(100,1)\n",
    "# 散点图：每个数据点用蓝色点 ('b.') 标记。plt.scatter(X, y)\n",
    "plt.plot(X,y,'b.')\n",
    "# plt.scatter(X, y)\n",
    "plt.xlabel('X_1')\n",
    "plt.ylabel('y')\n",
    "plt.axis([0,2,0,15])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1f2ecd45-1ab1-4b05-b129-028e489e9a50",
   "metadata": {},
   "source": [
    "![title](./img/1.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8c83219d-69a1-462c-8995-318acb539274",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[4.21509616]\n",
      " [2.77011339]]\n"
     ]
    }
   ],
   "source": [
    "# 计算最佳拟合线\n",
    "# 补充偏置项 X0，并赋值为1数据集左侧拼接1\n",
    "X_b = np.c_[np.ones((100,1)),X]\n",
    "theta_best = np.linalg.inv(X_b.T.dot(X_b)).dot(X_b.T).dot(y)\n",
    "print(theta_best)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1b20b73d-56e7-4225-ac38-1eb4e6f2dd23",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.21509616],\n",
       "       [9.75532293]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 测试值两个，预测x未0和2的时候对应y的值\n",
    "X_new = np.array([[0],[2]])\n",
    "# 左侧添加一列全为1，2行一列\n",
    "X_new_b = np.c_[np.ones((2,1)),X_new]\n",
    "# 根据theta计算预测值\n",
    "y_predict = X_new_b.dot(theta_best)\n",
    "y_predict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b49ea7c3-8fd2-44e1-b40b-88a84b7398c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制红色虚线 ('r--') \n",
    "plt.plot(X_new,y_predict,'r--')\n",
    "plt.plot(X,y,'b.')\n",
    "# 设置x轴最小值最大值0abs-2，y轴最大值最小值0-15\n",
    "plt.axis([0,2,0,15])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7987fe15-2696-4967-966e-cead9129aa17",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[2.77011339]]\n",
      "[4.21509616]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "lin_reg = LinearRegression()\n",
    "lin_reg.fit(X,y)\n",
    "# 斜率|权重\n",
    "print (lin_reg.coef_)\n",
    "# 偏置\n",
    "print (lin_reg.intercept_)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca46cdc3-179b-4dbe-967b-4a5f1c5bd36f",
   "metadata": {},
   "source": [
    "## 批量梯度下降"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "38552bec-8e82-4f10-9594-ab257e63387c",
   "metadata": {},
   "source": [
    "![title](./img/7.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "aa9bf4b2-aaec-48cb-95e7-da134c997352",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.21509616],\n",
       "       [2.77011339]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 学习率，每次下降的率\n",
    "eta = 0.1\n",
    "# 迭代次数\n",
    "n_iterations = 1000\n",
    "# 批量大小\n",
    "m = 100\n",
    "# 初始化theta,生成一个形状为 (2, 1) ,2行1列，符合标准正态分布随机数组\n",
    "theta = np.random.randn(2,1)\n",
    "# 循环，求梯度gradients，迭代更新theta\n",
    "for iteration in range(n_iterations):\n",
    "    # 求梯度gradients\n",
    "    gradients = 2/m* X_b.T.dot(X_b.dot(theta)-y)\n",
    "    # 迭代更新theta\n",
    "    theta = theta - eta*gradients\n",
    "theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ed21a89b-5afa-4995-9f47-6ee321de08e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.21509616],\n",
       "       [9.75532293]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_new_b.dot(theta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "52bd3533-2add-4153-8295-90282cf695fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta_path_bgd = []\n",
    "def plot_gradient_descent(theta,eta,theta_path=None):\n",
    "    m = len(X_b)\n",
    "    plt.plot(X,y,'b.')\n",
    "    n_iterations = 1000\n",
    "    for iteration in range(n_iterations):       \n",
    "        # 传递补1列的X预测特征值，获取预测标签值，\n",
    "        y_predict = X_new_b.dot(theta)\n",
    "        plt.plot(X_new,y_predict,'b-')\n",
    "        # 求梯度gradients\n",
    "        gradients = 2/m* X_b.T.dot(X_b.dot(theta)-y)\n",
    "        # 迭代更新theta\n",
    "        theta = theta - eta*gradients\n",
    "        if theta_path is not None:\n",
    "            theta_path.append(theta)\n",
    "\n",
    "    plt.xlabel('X_1')\n",
    "    plt.axis([0,2,0,15])\n",
    "    plt.title('eta = {}'.format(eta))\n",
    "\n",
    "theta = np.random.randn(2,1)\n",
    "plt.figure(figsize=(10,4))\n",
    "plt.subplot(131)\n",
    "plot_gradient_descent(theta,eta=0.02)\n",
    "plt.subplot(132)\n",
    "plot_gradient_descent(theta,eta = 0.1,theta_path=theta_path_bgd)\n",
    "plt.subplot(133)\n",
    "plot_gradient_descent(theta,eta = 0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd50588a-afde-4644-a9b5-2678b7e4a541",
   "metadata": {},
   "source": [
    "可以看到，学习率太大容易偏离对象，所以选择适中的学习率\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9ba9422-5469-4b79-a42e-ac3229ad51c5",
   "metadata": {},
   "source": [
    "## 随机梯度下降\n",
    "随机梯度下降每次只使用一个训练样本进行梯度更新，这样可以加快收敛速度，并且更容易跳出局部最小值。\n",
    "- 随机梯度下降实现\n",
    "    1. 定义随机梯度下降函数： 我们将修改现有的批量梯度下降函数，使其每次只使用一个样本进行更新。\n",
    "    2. 可视化：展示随机梯度下降的过程。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "0a1ae989-b7c6-40fd-b5c4-d61a21fa7fdb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5000\n",
      "[[4.21076011]\n",
      " [2.74856079]]\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# theta路径数组\n",
    "theta_path_sgd=[]\n",
    "# 行数，样本数量\n",
    "m = len(X_b)\n",
    "# 设置随机种子\n",
    "np.random.seed(42)\n",
    "# 迭代次数\n",
    "n_epochs = 50\n",
    "# 衰减策略，刚开始比较大，越来越小，初始化值\n",
    "t0 = 5\n",
    "t1 = 50\n",
    "\n",
    "# 学习率衰减方法\n",
    "def learning_schedule(t):\n",
    "    return t0/(t1+t)\n",
    "\n",
    "# 初始化theta,两行一列符合正态分布值\n",
    "theta = np.random.randn(2,1)\n",
    "\n",
    "count = 0 \n",
    "for epoch in range(n_epochs):\n",
    "    for i in range(m):\n",
    "        count+=1\n",
    "        # 只取前10次迭代\n",
    "        if epoch < 10 and i<10:\n",
    "            # 根据x计算预测值\n",
    "            y_predict = X_new_b.dot(theta)\n",
    "            plt.plot(X_new,y_predict,'r-')\n",
    "        # 随机取一个下标值用来取特征值\n",
    "        random_index = np.random.randint(m)\n",
    "        xi = X_b[random_index:random_index+1]\n",
    "        yi = y[random_index:random_index+1]\n",
    "        # 计算梯度\n",
    "        gradients = 2* xi.T.dot(xi.dot(theta)-yi)\n",
    "        # 学习率变化\n",
    "        eta = learning_schedule(epoch*m+i)\n",
    "        # 根据梯度值和学习率更新新的theta\n",
    "        theta = theta-eta*gradients\n",
    "        # 记录theta变化路径\n",
    "        theta_path_sgd.append(theta)\n",
    "print(count)\n",
    "print(theta)\n",
    "plt.plot(X,y,'b.')\n",
    "plt.axis([0,2,0,15])   \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cf820ae-fd49-488e-9b9a-1d07f42c069a",
   "metadata": {},
   "source": [
    "## 小批量梯度下降\n",
    "- 小批量梯度下降（Mini-batch Gradient Descent）。小批量梯度下降每次使用一小批样本进行梯度更新，结合了批量梯度下降和随机梯度下降的优点，既能够快速收敛，又具有较好的稳定性\n",
    "- 小批量梯度下降实现\n",
    "1. 定义小批量梯度下降函数：我们将修改现有的批量梯度下降函数，使其每次使用一小批样本进行更新。\n",
    "2. 可视化：展示小批量梯度下降的过程。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "360ffca9-e36e-42fa-967b-cf12f6ceff41",
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'np' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[4], line 4\u001b[0m\n\u001b[0;32m      2\u001b[0m n_epochs \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m50\u001b[39m\n\u001b[0;32m      3\u001b[0m minibatch \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m16\u001b[39m\n\u001b[1;32m----> 4\u001b[0m \u001b[43mnp\u001b[49m\u001b[38;5;241m.\u001b[39mrandom\u001b[38;5;241m.\u001b[39mseed(\u001b[38;5;241m8\u001b[39m)\n\u001b[0;32m      5\u001b[0m theta \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mrandom\u001b[38;5;241m.\u001b[39mrandn(\u001b[38;5;241m2\u001b[39m,\u001b[38;5;241m1\u001b[39m)\n\u001b[0;32m      6\u001b[0m t0, t1 \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m200\u001b[39m, \u001b[38;5;241m1000\u001b[39m\n",
      "\u001b[1;31mNameError\u001b[0m: name 'np' is not defined"
     ]
    }
   ],
   "source": [
    "theta_path_mgd=[]\n",
    "n_epochs = 50\n",
    "minibatch = 16\n",
    "np.random.seed(8)\n",
    "theta = np.random.randn(2,1)\n",
    "t0, t1 = 200, 1000\n",
    "\n",
    "def learning_schedule(t):\n",
    "    return t0 / (t + t1)\n",
    "\n",
    "# 计算次数\n",
    "t = 0\n",
    "for epoch in range(n_epochs):\n",
    "    shuffled_indices = np.random.permutation(m)\n",
    "    X_b_shuffled = X_b[shuffled_indices]\n",
    "    y_shuffled = y[shuffled_indices]\n",
    "    # range(start, stop, step)，生成从 start 到 stop - 1 的整数序列，步长为 step。\n",
    "    for i in range(0,m,minibatch):\n",
    "        t+=1\n",
    "        # 根据x计算预测值\n",
    "        if epoch < 10 and i<10:\n",
    "            y_predict = X_new_b.dot(theta)\n",
    "            plt.plot(X_new,y_predict,'r-')\n",
    "        # 从i开始取minibatch个数据\n",
    "        xi = X_b_shuffled[i:i+minibatch]\n",
    "        yi = y_shuffled[i:i+minibatch]\n",
    "        # 计算梯度值\n",
    "        gradients = 2/minibatch* xi.T.dot(xi.dot(theta)-yi)\n",
    "        # 获取新的学习率\n",
    "        eta = learning_schedule(t)\n",
    "        # 计算新的theta值\n",
    "        theta = theta-eta*gradients\n",
    "        # 记录theta变化路径\n",
    "        theta_path_mgd.append(theta)\n",
    "print(t)\n",
    "print(theta)\n",
    "plt.plot(X,y,'b.')\n",
    "plt.axis([0,2,0,15])   \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7014860b-b527-42f0-9830-5e116dd7df89",
   "metadata": {},
   "source": [
    "## 多项式回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "da696e6f-0977-45e4-8a96-0fd777380abf",
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'np' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[3], line 2\u001b[0m\n\u001b[0;32m      1\u001b[0m m \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m100\u001b[39m\n\u001b[1;32m----> 2\u001b[0m \u001b[43mnp\u001b[49m\u001b[38;5;241m.\u001b[39mrandom\u001b[38;5;241m.\u001b[39mseed(\u001b[38;5;241m8\u001b[39m)\n\u001b[0;32m      3\u001b[0m X \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m6\u001b[39m\u001b[38;5;241m*\u001b[39mnp\u001b[38;5;241m.\u001b[39mrandom\u001b[38;5;241m.\u001b[39mrand(m,\u001b[38;5;241m1\u001b[39m) \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m3\u001b[39m\n\u001b[0;32m      4\u001b[0m \u001b[38;5;28mprint\u001b[39m(X[:\u001b[38;5;241m10\u001b[39m]) \u001b[38;5;66;03m# 输出前10个\u001b[39;00m\n",
      "\u001b[1;31mNameError\u001b[0m: name 'np' is not defined"
     ]
    }
   ],
   "source": [
    "m = 100\n",
    "np.random.seed(8)\n",
    "X = 6*np.random.rand(m,1) - 3\n",
    "print(X[:10]) # 输出前10个\n",
    "# 二次方数据\n",
    "y = 0.5*X**2+X+np.random.randn(m,1)\n",
    "plt.plot(X,y,'b.')\n",
    "plt.xlabel('X_1')\n",
    "plt.ylabel('y')\n",
    "plt.axis([-3,3,-5,10])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "5c811538-f24b-46b1-9278-182a3f3e8354",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2.24057642]\n",
      "[2.24057642 5.02018268]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "# 生成多项式特征，degree=2生成二次多项式特征[X, X^2]。include_bias参数决定了是否在生成的多项式特征中包含常数项（即偏置项） [1, X, X^2]\n",
    "poly_features = PolynomialFeatures(degree = 2,include_bias = False)\n",
    "# 获取转化结果\n",
    "X_poly = poly_features.fit_transform(X)\n",
    "print(X[0])\n",
    "print(X_poly[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "bdcc63f9-077c-4c61-b17f-65adb14fd2da",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1.04831483 0.48795517]]\n",
      "[0.01118163]\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 使用线性回归\n",
    "from sklearn.linear_model import LinearRegression\n",
    "lin_reg = LinearRegression()\n",
    "lin_reg.fit(X_poly,y)\n",
    "# theta，各个权重\n",
    "print (lin_reg.coef_)\n",
    "# 偏置\n",
    "print (lin_reg.intercept_)\n",
    "# 生成一个等间距的一维数组，范围-3到3，100个数据，并转换为100行1列的矩阵\n",
    "X_new = np.linspace(-3,3,100).reshape(100,1)\n",
    "X_new_poly = poly_features.transform(X_new)\n",
    "y_new = lin_reg.predict(X_new_poly)\n",
    "plt.plot(X,y,'b.')\n",
    "plt.plot(X_new,y_new,'r--',label='prediction')\n",
    "plt.axis([-3,3,-5,10])\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7327c424-a759-4ea6-a269-6c789e714974",
   "metadata": {},
   "source": [
    "## degree对结果的影响"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "096f82c5-5458-4447-a424-faeb6f82993f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "plt.figure(figsize=(12,6))\n",
    "for style,width,degree in (('g-',1,100),('b--',1,2),('r-+',1,1)):\n",
    "    # 生成多项式特征，\n",
    "    poly_features = PolynomialFeatures(degree = degree,include_bias = False)\n",
    "    # 对数据进行标准化处理。标准化的目标是使数据具有零均值和单位方差\n",
    "    std = StandardScaler()\n",
    "    lin_reg = LinearRegression()\n",
    "    # 使用管道,将多个预处理步骤和模型训练步骤组合在一起，形成一个流水线。这样可以简化代码并避免重复操作\n",
    "    polynomial_reg = Pipeline([('poly_features',poly_features),\n",
    "             ('StandardScaler',std),\n",
    "             ('lin_reg',lin_reg)])\n",
    "    polynomial_reg.fit(X,y)\n",
    "    y_new_2 = polynomial_reg.predict(X_new)\n",
    "    plt.plot(X_new,y_new_2,style,label = 'degree   '+str(degree),linewidth = width)\n",
    "plt.plot(X,y,'b.')\n",
    "plt.axis([-3,3,-5,10])\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e3c3a037-1148-4a6e-9d0a-357874d67cae",
   "metadata": {},
   "outputs": [],
   "source": [
    "特征变换的越复杂，得到的结果过拟合风险越高，不建议做的特别复杂。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b98bd8a-0cd3-4d4a-b731-0f79ebf3170b",
   "metadata": {},
   "source": [
    "## 数据样本数量对结果的影响"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e3d130b1-cee1-4447-8ce9-a1586945b508",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 均方误差\n",
    "from sklearn.metrics import mean_squared_error\n",
    "# 数据集划分为训练集和测试集方法\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "def plot_learning_curves(model,X,y):\n",
    "    # 拆分训练集和测试集，指定测试集占比，随机种子(每次结果一致)\n",
    "    X_train, X_val, y_train, y_val = train_test_split(X,y,test_size = 0.2,random_state=100)\n",
    "    train_errors,val_errors = [],[]\n",
    "    # 循环m取训练集数据进行训练，测试集保证一致\n",
    "    for m in range(1,len(X_train)):\n",
    "        model.fit(X_train[:m],y_train[:m])\n",
    "        y_train_predict = model.predict(X_train[:m])\n",
    "        y_val_predict = model.predict(X_val)\n",
    "        # 计算均方误差-训练集\n",
    "        train_errors.append(mean_squared_error(y_train[:m],y_train_predict[:m]))\n",
    "        # 计算均方误差-测试集\n",
    "        val_errors.append(mean_squared_error(y_val,y_val_predict))\n",
    "    plt.plot(np.sqrt(train_errors),'r-+',linewidth = 2,label = 'train_error')\n",
    "    plt.plot(np.sqrt(val_errors),'b-',linewidth = 3,label = 'val_error')\n",
    "    plt.xlabel('Trainsing set size')\n",
    "    plt.ylabel('RMSE')\n",
    "    plt.legend()\n",
    "lin_reg = LinearRegression()\n",
    "plot_learning_curves(lin_reg,X,y)\n",
    "plt.axis([0,80,0,3.3])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fee4b09d-ad62-4cbd-8124-c702821068d3",
   "metadata": {},
   "outputs": [],
   "source": [
    "数据量越少，训练集的效果会越好，但是实际测试效果很一般。实际做模型的时候需要参考测试集和验证集的效果。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab085d60-4849-46b9-b9af-f1247e00ea45",
   "metadata": {},
   "source": [
    "## 过拟合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "3157115c-f949-43da-99cb-80d379a3fc33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# degree越大越容易出现过拟合\n",
    "polynomial_reg = Pipeline([('poly_features',PolynomialFeatures(degree = 25,include_bias = False)),\n",
    "             ('lin_reg',LinearRegression())])\n",
    "plot_learning_curves(polynomial_reg,X,y)\n",
    "plt.axis([0,80,0,5])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fb3b4912-beb9-4322-a81f-ebca1a9dd152",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "83130d18-0692-4379-8ec4-3424fba2754f",
   "metadata": {},
   "source": [
    "## 正则化\n",
    "对权重参数进行惩罚，让权重参数尽可能平滑一些，有两种不同的方法来进行正则化惩罚:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "588a4dc8-0907-4f29-abc6-3b6b838cc458",
   "metadata": {},
   "source": [
    "### L1正则化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eeb2babd-2244-484b-9ba3-78c74623d24a",
   "metadata": {},
   "outputs": [],
   "source": [
    "L1 正则化（Lasso 正则化）是一种常用的正则化技术，用于减少模型的过拟合现象，并且能够实现特征选择。L1 正则化通过在损失函数中添加一个绝对值形式的惩罚项来实现。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a0473bbe-1bae-4984-b80c-e797e640a972",
   "metadata": {},
   "outputs": [],
   "source": [
    "损失函数：参数绝对求和"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45d62d5c-ea18-42b7-bf67-1b3207f40fdb",
   "metadata": {},
   "source": [
    "![title](./img/10.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "078bda27-95e2-4a70-bd40-8f71595e4288",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\app\\python38\\lib\\site-packages\\sklearn\\base.py:1152: UserWarning: With alpha=0, this algorithm does not converge well. You are advised to use the LinearRegression estimator\n",
      "  return fit_method(estimator, *args, **kwargs)\n",
      "D:\\app\\python38\\lib\\site-packages\\sklearn\\linear_model\\_coordinate_descent.py:628: UserWarning: Coordinate descent with no regularization may lead to unexpected results and is discouraged.\n",
      "  model = cd_fast.enet_coordinate_descent(\n",
      "D:\\app\\python38\\lib\\site-packages\\sklearn\\linear_model\\_coordinate_descent.py:628: ConvergenceWarning: Objective did not converge. You might want to increase the number of iterations, check the scale of the features or consider increasing regularisation. Duality gap: 2.803e+00, tolerance: 9.295e-04 Linear regression models with null weight for the l1 regularization term are more efficiently fitted using one of the solvers implemented in sklearn.linear_model.Ridge/RidgeCV instead.\n",
      "  model = cd_fast.enet_coordinate_descent(\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1400x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "# L1 正则化\n",
    "from sklearn.linear_model import Lasso\n",
    "from sklearn.pipeline import Pipeline\n",
    "# 引入多项式特征\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "# 引入标准定标器，标准化处理\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "np.random.seed(42)\n",
    "m = 20\n",
    "X = 3*np.random.rand(m,1)\n",
    "y = 0.5 * X +np.random.randn(m,1)/1.5 +1\n",
    "X_new = np.linspace(0,3,100).reshape(100,1)\n",
    "\n",
    "# 自定义方法，传入模型，多项式，alphas\n",
    "def plot_model(model_calss,polynomial,alphas,**model_kargs):\n",
    "    for alpha,style in zip(alphas,('b-','g--','r:')):\n",
    "        model = model_calss(alpha,**model_kargs)\n",
    "        if polynomial:\n",
    "            model = Pipeline([('poly_features',PolynomialFeatures(degree =10,include_bias = False)),\n",
    "             ('StandardScaler',StandardScaler()),\n",
    "             ('lin_reg',model)])\n",
    "        model.fit(X,y)\n",
    "        y_new_regul = model.predict(X_new)\n",
    "        lw = 2 if alpha > 0 else 1\n",
    "        plt.plot(X_new,y_new_regul,style,linewidth = lw,label = 'alpha = {}'.format(alpha))\n",
    "    plt.plot(X,y,'b.',linewidth =3)\n",
    "    plt.legend()\n",
    "\n",
    "plt.figure(figsize=(14,6))\n",
    "plt.subplot(121)\n",
    "plot_model(Lasso,polynomial=False,alphas = (0.01,0.1,1))\n",
    "plt.subplot(122)\n",
    "plot_model(Lasso,polynomial=True,alphas = (0,10**-1,1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29586aca-9127-40e0-9e60-78d1c99f6ad6",
   "metadata": {},
   "source": [
    "### L2正则化"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6ab1aac-adae-4743-8752-0a51f68a6478",
   "metadata": {},
   "source": [
    "![title](./img/9.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0064256c-2afb-41bd-99c4-77c1e82e0037",
   "metadata": {},
   "outputs": [],
   "source": [
    "损失函数：参数平方值求和"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8db81d88-c273-4795-b712-16a68f53ca96",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1400x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# L2 正则化\n",
    "# 损失函数中加入一个正则化项来减少模型的复杂度，从而防止过拟合。这种正则化项是模型参数的平方和乘以一个正则化系数（通常标记为 λ 或 α）。Ridge 回归也被称为 L2 正则化\n",
    "from sklearn.linear_model import Ridge\n",
    "from sklearn.pipeline import Pipeline\n",
    "# 引入多项式特征\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "# 引入标准定标器，标准化处理\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "np.random.seed(42)\n",
    "m = 20\n",
    "X = 3*np.random.rand(m,1)\n",
    "y = 0.5 * X +np.random.randn(m,1)/1.5 +1\n",
    "X_new = np.linspace(0,3,100).reshape(100,1)\n",
    "\n",
    "def plot_model(model_calss,polynomial,alphas,**model_kargs):\n",
    "    for alpha,style in zip(alphas,('b-','g--','r:')):\n",
    "        model = model_calss(alpha,**model_kargs)\n",
    "        if polynomial:\n",
    "            model = Pipeline([('poly_features',PolynomialFeatures(degree =10,include_bias = False)),\n",
    "             ('StandardScaler',StandardScaler()),\n",
    "             ('lin_reg',model)])\n",
    "        model.fit(X,y)\n",
    "        y_new_regul = model.predict(X_new)\n",
    "        lw = 2 if alpha > 0 else 1\n",
    "        plt.plot(X_new,y_new_regul,style,linewidth = lw,label = 'alpha = {}'.format(alpha))\n",
    "    plt.plot(X,y,'b.',linewidth =3)\n",
    "    plt.legend()\n",
    "\n",
    "plt.figure(figsize=(14,6))\n",
    "plt.subplot(121)\n",
    "plot_model(Ridge,polynomial=False,alphas = (0,10,100))\n",
    "plt.subplot(122)\n",
    "plot_model(Ridge,polynomial=True,alphas = (0,10**-5,1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "36c6c2cf-fd6f-45f7-be1b-508f67b27075",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
